Existence of positive solutions for a class of delay fractional differential equations with generalization to
-term. (English) Zbl 1217.34007
Summary: We established the existence of a positive solution of nonlinear fractional differential equations with finite delay , where , that is, is singular at and . The operator of involves the Riemann-Liouville fractional derivatives. In this problem, the initial conditions with fractional order and some relations among them were considered. The analysis rely on the alternative of the Leray-Schauder fixed point theorem, the Banach fixed point theorem, and the Arzela-Ascoli theorem in a cone.
|34A08||Fractional differential equations|